Question

The length of a rectangle is represented by the function L(x) = 2x. The width of that same rectangle is represented by the function W(x) = 8x2 − 4x + 1. Which of the following shows the area of the rectangle in terms of x?

(L + W)(x) = 8x2 − 2x + 1
(L + W)(x) = 8x2 − 6x + 1
(L ⋅ W)(x) = 16x3 − 4x + 1
(L ⋅ W)(x) = 16x3 − 8x2 + 2x

Answer 1

Explanation:

The area of a rectangle is given by the product of its length and width. Therefore, the area of the rectangle is:

A(x) = L(x) ⋅ W(x) = 2x(8x^2 - 4x + 1)

Simplifying the expression, we get:

A(x) = 16x^3 - 8x^2 + 2x

Therefore, the answer is (D) (L ⋅ W)(x) = 16x3 − 8x2 + 2x.